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Finding the Fourth Proportional to 6,540.48, 9,813.15 and 3,614.76

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Solution

The fourth proportional to 6,540.48, 9,813.15 and 3,614.76 is: 5,423.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.48 : 9,813.15 = 3,614.76 : x
  2. Step 2: Convert to fraction form
    6,540.48/9,813.15 = 3,614.76/x
  3. Step 3: Cross multiply
    6,540.48x = 9,813.15 × 3,614.76
  4. Step 4: Simplify right side
    6,540.48x = 35,472,182.09
  5. Step 5: Solve for x
    x = 35,472,182.09/6,540.48
  6. Step 6: Final answer
    x = 5,423.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.